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\begin{aligned} &\text { 1) Given the two vectors } \vec{u}=\vec{\imath}-3 \lambda \vec{\jmath}+\lambda \vec{k} \text { and } \vec{v}=\vec{\imath}-3 \vec{\jmath}+20 \lambda \vec{k}, \text { find the }\\ &\text { constant (or

constants?) } \lambda \in \mathbb{R} \text { such that } \vec{u} \text { and } \vec{v} \text { are perpendicular. } \end{aligned}

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